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Extending Euler's Theorem gives minus 1 - why?

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#congruences #totient-function
208
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Solve the system of modular equations

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#elementary-number-theory #totient-function
241
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Efficiently doing prime factorisation by hand

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#elementary-number-theory #prime-numbers #prime-factorization #totient-function
403
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Proof involving Euler totient function and modular arithmetic

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#elementary-number-theory #modular-arithmetic #totient-function
860
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What is the product of $p_i-1 \over p_i$

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#convergence-divergence #prime-numbers #totient-function #infinite-product #primorial
169
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Geometrical Interpretation of function $\phi(n)$

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#geometry #number-theory #elementary-number-theory #graphing-functions #totient-function
42
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Euler totient formula

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#totient-function
106
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Can we improve on the inequality $\sigma(N)\varphi(N) < N^2$ for integers $N > 1$?

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#inequality #totient-function #divisor-sum #arithmetic-functions
86
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A question about $\frac{\phi(n)}{n}$

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#totient-function
261
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$\varphi(5^n - 1) = 5^m -1$ implies $\gcd(n, m) > 1$

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#elementary-number-theory #totient-function
230
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How many species of regular 100-sided polygons are there?

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#combinatorics #inclusion-exclusion #totient-function #combinatorial-geometry
132
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Euler's $\phi$ function is multiplicative, help with my proof

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#number-theory #elementary-number-theory #elementary-set-theory #totient-function
34
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How do I generalize the product for the totient function to a slightly related function?

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#elementary-number-theory #modular-arithmetic #totient-function
247
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The converse of Euler's Theorem

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#elementary-number-theory #totient-function
96
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Can we improve on the inequality $\sigma(N)\varphi(N) < N^2$ for composite integers $N > 1$?

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#proof-verification #inequality #totient-function #upper-lower-bounds #divisor-sum

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